To find: - x , y , z

Given set of lines are : -

x + 2y + z = 7;

x + 3z = 11;

2x – 3y = 1

Converting following equations in matrix form,

AX = B

R₂ – R₁

R₃ –2R₁

R₃ + R₂

Again converting into equations we get

X + 2y + z = 7

- 2y + 2z = 4

- 9y = - 9

Y = 1

- 2×1 + 2z = 4

2z = 6

Z = 3

X + 2×1 + 3 = 7

X = 7 - 2 - 3

X = 2

∴